Technical Papers
Feb 24, 2016

Reliability Coupled Sensitivity-Based Seismic Analysis of Gravity Retaining Wall Using Pseudostatic Approach

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 142, Issue 6

Abstract

The stability of geotechnical earth structures is often affected by associated uncertainties present in geotechnical parameters, if they are not properly accounted for. The present paper aims at quantifying these uncertainties and proposes a modification factor, namely probabilistic risk factor (Rf) for each geotechnical random variable. A gravity retaining wall is analyzed by a pseudostatic method of analysis against four modes of failure namely, sliding, overturning, eccentricity, and bearing. The effect of variation of properties of backfill and foundation soil on stability of the wall for various earthquake conditions is analyzed. Rf simultaneously identifies the effects of Pf of a gravity retaining wall subjected to earthquake loading and also the sensitivity of geotechnical random variables on different modes of failure. The geotechnical random variables are modified by Rf and applied in design. It is observed that, apart from the seismic horizontal and vertical pseudostatic acceleration coefficients kh and kv, friction angle of backfill soil (φ1), and cohesion of foundation soil (c2) are the major guiding geotechnical parameters in stability analysis of the gravity retaining wall. Parametric studies are carried out for different combinations of kh, kv, and φ, and risk factors-based on the formulated approach are proposed for each case. Finally, design guidelines are proposed for different variations of random variables and earthquake conditions. A case study is also presented, which deals with the application of proposed risk factors to a series of 54 retaining walls in Hodogaya Ward and Naka Ward of the Yokohama municipality area in Japan.

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References

AASHTO. (2012). “LRFD highway bridge design specifications, customary U.S. units.” Washington, DC.
Babu, G. L. S., and Basha, B. M. (2006). “Inverse reliability based design optimisation of cantilever retaining walls.” Proc., 3rd Int. ASRANET Colloquium, ASRANet, Glasgow, U.K.
Babu, G. L. S., and Basha, B. M. (2008a). “Optimum design of cantilever retaining walls using target reliability approach.” Int. J. Geomech., 240–252.
Babu, G. L. S., and Basha, B. M. (2008b). “Optimum design of cantilever sheet pile walls using inverse reliability approach.” Comput. Geotech., 35(2), 134–143.
Baecher, G. B., and Christian, J. T. (2003). Reliability and statistics in geotechnical engineering, Wiley, New York.
Basha, B. M., and Babu, G. L. S. (2007). Reliability based design optimization of gravity retaining walls, ASCE, Reston, VA, 170.
Basha, B. M., and Babu, G. L. S. (2010). “Seismic rotational displacements of gravity walls by pseudodynamic method with curved rupture surface.” Int. J. Geomech., 93–105.
Blazquez, R., and Der Kiureghian, A. (1987). “Seismic reliability of retaining walls.” 5th Int. Conf. on Application of Statistics and Probability in Soil and Structural Engineering (ICASP 5), Taylor and Francis, 1149–1156.
Choudhury, D., and Nimbalkar, S. S. (2006). “Pseudo-dynamic approach of seismic active earth pressure behind retaining wall.” Geotech. Geol. Eng., 24(5), 1103–1113.
Choudhury, D., and Singh, S. (2006). “New approach for determination of static and seismic active earth pressure.” Geotech. Geol. Eng., 24(1), 117–127.
Das, B. M. (1983). Fundamentals of soil dynamics, Elsevier, New York.
Dewaikar, D. M., and Halkude, S. A. (2002). “Seismic passive/active thrust on retaining wall-point of application.” Soils Found., 42(1), 9–15.
Duncan, J. M. (2000). “Factors of safety and reliability in geotechnical engineering.” J. Geotech. Geoenviron. Eng., 307–316.
Gautam, T. P., and Kanda, J. (2009). “Probability of failure of concrete retaining walls due to earthquakes in Kanto Area, Tokyo.” 2009 Portland GSA Annual Meeting, Geological Society of America.
GuhaRay, A., and Baidya, D. (2015). “Reliability-based analysis of cantilever sheet pile walls backfilled with different soil types using the finite-element approach.” Int. J. Geomech., 06015001.
GuhaRay, A., and Baidya, D. K. (2012). “Reliability coupled sensitivity based design approach for gravity retaining walls.” J. Inst. Eng., 93(3), 193–201.
GuhaRay, A., Ghosh, S., and Baidya, D. K. (2014). “Risk factor based design of cantilever retaining walls.” Geotech. Geol. Eng., 32(1), 179–189.
Harr, M. E. (1984). “Reliability-based design in civil engineering.” Henry M. Shaw lecture, Dept. of Civil Engineering, North Carolina State Univ., Raleigh, NC.
Hasofer, A. M., and Lind, N. C. (1974). “A extract and invariant first order reliability format.” J. Eng. Mech., 100(EM-1), 111–121.
Hoeg, K., and Murarka, R. (1974). “Probabilistic analysis and design of a retaining wall.” J. Geotech. Eng. Div., 100(3), 349–366.
Koseki, J., Tatsuoka, F., Munaf, Y., Tateyama, M., and Kojima, K. (1997). “A modified procedure to evaluate active earth pressure at high seismic loads.” Soils Found., 2, 209–216.
Kramer, S. L. (2004). Geotechnical earthquake engineering, Prentice Hall, Upper Saddle River, NJ.
Kulhawy, F. H. (1992). “On the evaluation of static soil properties.” Stability and performance of slopes and embankments II, R. B. Seed and R. W. Boulanger, eds., Geotechnical Special Publication, Berkeley, CA, 95–115.
Kumar, J. (2001). “Seismic passive earth pressure coefficients for sands.” Can. Geotech. J., 38(4), 876–881.
Kumar, J., and Chitikela, S. (2002). “Seismic earth passive pressure coefficients using the method of characteristics.” Can. Geotech. J., 39(2), 463–471.
Lacasse, S., and Nadim, F. (1997). Uncertainties in characterizing soil properties, Norwegian Geotechnical Institute, Oslo, Norway, 49–75.
Madhav, M. R., and Kameswara Rao, N. S. V. (1969). “Earth pressures under seismic conditions.” Soils Found., 9(4), 33–47.
MATLAB R2015a. [Computer software]. MathWorks, Natick, MA.
Meyerhof, G. G. (1951). “The ultimate bearing capacity of foundations.” Geotechnique, 2(4), 301–332.
Mononobe, N., and Matsuo, H. (1929). “On the determination of earth pressure during earthquakes.” Proc., World Engineering Conf., Vol. 9, 177–185.
Okabe, S. (1926). “General theory of earth pressure.” J. Jpn. Soc. Civ. Eng., 12(1), 311.
Peck, R. B., Hanson, W. E., and Thornburn, T. H. (1974). Found. Eng., 2nd Ed., Wiley, New York.
Rausand, M., and Hoylan, A. (2004). “System reliability theorie, models, statistical methods, and applications.” 2nd Ed., Wiley series in probability and statistics, D. J. Balding, ed., Wiley, Hoboken, NJ.
Rosenblueth, E. (1975). “Point estimates for probability moments.” Proc. Natl. Acad. Sci., 72(10), 3812–3814.
Saltelli, A., Tarantola, S., and Chan, K. P. S. (1999). “A quantitative model independent method for global sensitivity analysis of model output.” Technometrics, 41(1), 39–56.
Seed, H. B., and Whitman, R. V. (1970). “Design of earth retaining structures for dynamic loads.” Proc., ASCE Special Conf. on Lateral Stresses in the Ground and Design of Earth Retaining Structures, ASCE Geo-Institute, New York, 103–147.
Stamatis, D. H. (1995). “Failure mode and effect analysis: FMEA from theory to execution.” American Society for Quality (ASQ), Milwaukee, WI.
Subba Rao, K., and Choudhury, D. (2005). “Seismic passive earth pressures in soils.” J. Geotech. Geoenviron. Eng., 131–135.
USACE. (1997). “Risk-based analysis in geotechnical engineering for support of planning studies, engineering and design.” U.S. Army Corps of Engineers, Dept. of Army, Washington, DC.
Zevgolis, I. E., and Bourdeau, P. L. (2010). “Probabilistic analysis of retaining walls.” Comput. Geotech., 37(3), 359–373.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 142Issue 6June 2016

History

Received: Dec 26, 2014
Accepted: Nov 13, 2015
Published online: Feb 24, 2016
Published in print: Jun 1, 2016
Discussion open until: Jul 24, 2016

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Authors

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Anasua GuhaRay, A.M.ASCE [email protected]
Former Research Scholar, Dept. of Civil Engineering, IIT Kharagpur, Kharagpur, West Bengal 721302, India (corresponding author). E-mail: [email protected]
Dilip Kumar Baidya
Professor, Dept. of Civil Engineering, IIT Kharagpur, Kharagpur, West Bengal 721302, India.

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